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arxiv: 1603.05039 · v1 · pith:2IUDLCFInew · submitted 2016-03-16 · 🧮 math.AP

An eigenvalue problem involving a degenerate and singular elliptic operator

classification 🧮 math.AP
keywords degeneratesingulareigenvalueellipticinvolvingoperatorproblemcase
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We study an eigenvalue problem involving a degenerate and singular elliptic operator on the whole space $\mathbb{R}^N$. We prove the existence of an unbounded and increasing sequence of eigenvalues. Our study generalizes to the case of degenerate and singular operators a result of A. Szulkin and M. Willem.

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